Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (3): 322-334.

• Articles • Previous Articles     Next Articles

GLOBAL ATTRACTOR OF NONLINEAR STRAIN
WAVES IN ELASTIC WAVEGUIDES

 DAI Zheng-De, GUO Bai-Ling   

  1. Department of Mathematics, Yunnan University, Kunming 650091, China P.O.Box 8009. Beijing 100088, China
  • Received:1998-05-24 Revised:1999-06-03 Online:2000-05-20 Published:2000-05-20
  • Supported by:

    Project Supported by National Natural Science Foundation of
    China (No.19861004)

Abstract:

The initial-boundary value problem of the propagation of nonlinear longitudinal
elastic waves in an initially strained rod is considered. The rod is assumed to interact
with the surrouding elastic and viscous external medium. The long time behavior of solutions
are derived and global attractors in E1 space is obtained.

Key words:  Nonlinear strain waves, attractors

CLC Number: 

  • 35K57
Trendmd